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Finding the Fourth Proportional to 10,811.64, 14,912.19 and 8,265.16

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Solution

The fourth proportional to 10,811.64, 14,912.19 and 8,265.16 is: 11,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.64 : 14,912.19 = 8,265.16 : x
  2. Step 2: Convert to fraction form
    10,811.64/14,912.19 = 8,265.16/x
  3. Step 3: Cross multiply
    10,811.64x = 14,912.19 × 8,265.16
  4. Step 4: Simplify right side
    10,811.64x = 123,251,636.30
  5. Step 5: Solve for x
    x = 123,251,636.30/10,811.64
  6. Step 6: Final answer
    x = 11,399.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.